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The study of the most important droplet-ejecting was given based on the phenomena of sub-cooled fuel of spacecraft propelling machinery during powered flight using VOF method of ADINA-F, which is verified to be taking high reliability to simulate the phenomenon of liquid strong nonlinear sloshing. The critical excitant frequency of free surface is deduced, whose dominant restoring energy from ejection is surface tension. Then the relationship between strong nonlinear features and frequency, forcing amplitude are revealed of this surface under low frequency and high frequency respectively. The inhibitory effect of nonlinear phenomenon caused by liquid viscous was also expounded.
The present study is based on the problem of liquid sloshing with small amplitude in a partial filling cylindrical cavity under harmonic excitation and low-gravity environment. Liquid sloshing velocity potential and wave height function, which are the problems belongs to Laplace equation and boundary conditions, were formulated using Bessel expansion method in this paper. Since the phenomenon o “crescent” of free surface due to low-gravity, the solving process of velocity potential and wave height become more difficult. And the study of characters of liquid sloshing with small amplitude in a cylindrical cavity in low-gravity condition was presented. Based on the consideration of surface tension and the foundation of the predecessor studies, the analytical solution of Laplace equation was calculated after the liquid velocity potential and wave height function were formulated firstly. Then the liquid sloshing force and sloshing moment ware given, and frequency of liquid free sloshing and velocity potential were computed. The equivalent mechanical model of mass-spring was established by mechanical equivalent principle. The present method was certified by comparison between numerical numerical solution and analytical solution. The relationship between parameters of the equivalent mechanical models and Bond number were revealed.